As mentioned above, at finite temperature the shear-driven system undergoes structural changes due to non-affine rearrangements of cluster of particles with increasing strain. These irreversible structural rearrangements are assisted by the imposed shear deformation and thermal noise. In this section, we attempt to understand this heterogeneous flow of the system by analyzing the spatial organization of these clusters. This is best realized by the microscopic analysis involving spatial configurations of atoms with large relative non-affine displacement. Therefore, we compute the non-affine displacement of the local shear transformations in deformed solids defined as [1]}
\(\begin{split}D^2(t,\Delta t) = & \frac{1}{N_i} \sum \limits _{j=1}^{N_i} \lbrace \mathrm {r}_j(t+\Delta t) - \mathrm {r}_i(t+\Delta t) - \\& \mathrm {J}_i [\mathrm {r}_j(t) - \mathrm {r}_i(t)]\rbrace ^2\end{split}\) 
